Urgent- trigonometry help?

Circle below has radius 1. Eight segment lengths are labeled with lowercase letters. Six of these equal a trigonometric function of . Your answer to this problem should be a six letter sequence whose letters represent the segment lengths that equal the following functions (in the correct order):So, for example, you would answer akhcbd if you thought , , , , , and .

Re: Urgent- trigonometry help?

well let's see

you know the angle adjacent to theta is 90-theta, because the two of them make up that bottom left right angle.
Then the angle opposite that is 90 deg as drawn. So the top left angle must be 180 - (90-theta) - (90) = theta.

Re: Urgent- trigonometry help?

So far as finding cotan, I'm guessing it's something to do with the Sine Law since 1/h is sin(90)/h in that triangle. So 1/h = (sin theta)/b = d/b, which is also cos(90-theta), thus cos(theta) and so d/b=a/d and d^2=ab